Governors are analyzing the House Republican bill to restructure Medicaid and phase out the Obamacare expansion of the program, and they don’t like what they see.

That prompted four Republican governors from Medicaid expansion states—John Kasich of Ohio, Rick Snyder of Michigan, Brian Sandoval of Nevada and Asa Hutchinson of Arkansas—last week to offer their congressional colleagues a sharply different Medicaid proposal. In their letter, they wrote that the House bill “provides almost no new flexibility for states, does not ensure the resources necessary to make sure no one is left out and shifts significant new costs to states.”

The letter “does give a little more oomph to nervous senators who say let’s not rush into things,” said Joe Antos, a conservative health policy expert at the American Enterprise Institute.